$(1)$ The beam section shown below has a simple span of $12$ m; determine theprestressing force using Magnel equations to satisfy the allowable stresses inconcrete at transfer and service stages. The beam is prestressed by a single tendonhaving zero eccentricity at ends and maximum eccentricity at mid$-$span. TakeWsW$=48$ kN$/$m$,$ WSIDL $=7$ kN $/$m$,$ wo $=15$ kN$/$m$,$ fc$=32$ MPa, Sop $=25$ MPa,R$0\mathrm{.}8,$ clear cover $=30$mm and cable duct diameter $=60$mm$.($HOMEWORKPROBLEM$300$mm$200$mm$600$mm$200$m$07$TEWsw, WSIDI & wo$12$m